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Finding the Fourth Proportional to 14,774.40, 20,396.20 and 11,409.66

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Solution

The fourth proportional to 14,774.40, 20,396.20 and 11,409.66 is: 15,751.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,774.40 : 20,396.20 = 11,409.66 : x
  2. Step 2: Convert to fraction form
    14,774.40/20,396.20 = 11,409.66/x
  3. Step 3: Cross multiply
    14,774.40x = 20,396.20 × 11,409.66
  4. Step 4: Simplify right side
    14,774.40x = 232,713,707.29
  5. Step 5: Solve for x
    x = 232,713,707.29/14,774.40
  6. Step 6: Final answer
    x = 15,751.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.